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We determine the unitary and anti-unitary Lagrangian and quantum symmetries of arbitrary abelian Chern-Simons theories. The symmetries depend sensitively on the arithmetic properties (e.g. prime factorization) of the matrix of Chern-Simons…

High Energy Physics - Theory · Physics 2021-01-13 Diego Delmastro , Jaume Gomis

We construct supersymmetric deformations of general, locally supersymmetric, nonlinear sigma models in three spacetime dimensions, by extending the pure supergravity theory with a Chern-Simons term and gauging a subgroup of the sigma model…

High Energy Physics - Theory · Physics 2010-04-05 Bernard de Wit , Ivan Herger , Henning Samtleben

We review nonlinear gauge theory and its application to two-dimensional gravity. We construct a gauge theory based on nonlinear Lie algebras, which is an extension of the usual gauge theory based on Lie algebras. It is a new approach to…

High Energy Physics - Theory · Physics 2009-10-22 Noriaki Ikeda

We describe several families of primary linear supermultiplets coupled to three-dimensional ${\cal N}=2$ conformal supergravity and use them to construct topological $BF$-type terms. We introduce conformal higher-spin gauge superfields and…

High Energy Physics - Theory · Physics 2018-12-19 Jessica Hutomo , Sergei M. Kuzenko , Daniel Ogburn

We consider supersymmetric gauge theories on $S^5$ with a negative Yang-Mills coupling in their large $N$ limits. Using localization we compute the partition functions and show that the pure ${\mathrm{SU}}(N)$ gauge theory descends to an…

High Energy Physics - Theory · Physics 2021-03-17 Joseph A. Minahan , Anton Nedelin

We construct twisted noncommutative gauge theories on twistor space and show that they are equivalent to four-dimensional twist-noncommutative gauge theories. In particular, we study twists of the Poincar\'e algebra. We explain how such a…

High Energy Physics - Theory · Physics 2026-01-29 Tim Meier , Eggon Viana

For extended $\mathcal{N}\leq 8$ supersymmetry we classify all possible gauge groups for a scalar multiplet allowed by the algebras of global and local supersymmetry in three dimensions. A detailed discussion of supersymmetry enhancement is…

High Energy Physics - Theory · Physics 2018-08-10 Frederik Lauf , Ivo Sachs

We propose a generalization of Chiral Gravity, which follows from considering a Chern-Simons action for the spin connection with anti-symmetric contorsion. The theory corresponds to Topologically Massive Gravity at the chiral point…

High Energy Physics - Theory · Physics 2015-06-30 Simón del Pino , Gaston Giribet , Adolfo Toloza , Jorge Zanelli

For a general class of SO(4) symmetric backgrounds in type II-supergravity, we show that the action of non-Abelian T-duality can be described via consistent truncation to seven dimensional theories with seemingly massive modes. As such, any…

High Energy Physics - Theory · Physics 2015-06-05 Georgios Itsios , Yolanda Lozano , Eoin Ó Colgáin , Konstadinos Sfetsos

In this work, we present the three-dimensional Maxwell Carroll gravity by considering the ultra-relativistic limit of the Maxwell Chern-Simons gravity theory defined in three spacetime dimensions. We show that an extension of the Maxwellian…

High Energy Physics - Theory · Physics 2021-11-03 Patrick Concha , Diego Peñafiel , Lucrezia Ravera , Evelyn Rodríguez

We study Chern-Simons theory on 3-manifolds M that are circle-bundles over 2-dimensional orbifolds S by the method of Abelianisation. This method, which completely sidesteps the issue of having to integrate over the moduli space of…

High Energy Physics - Theory · Physics 2015-06-16 Matthias Blau , George Thompson

We consider a non-relativistic (NR) limit of $(2+1)$-dimensional Maxwell Chern-Simons (CS) gravity with gauge algebra [Maxwell] $\oplus \ u(1)\oplus u(1)$. We obtain a finite NR CS gravity with a degenerate invariant bilinear form. We find…

High Energy Physics - Theory · Physics 2018-06-13 Luis Avilés , Ernesto Frodden , Joaquim Gomis , Diego Hidalgo , Jorge Zanelli

We study a symmetry-reduced sector of $AdS_3/\mathbb Z_2$ gravity formulated as an $SO(2,2)$ Chern--Simons theory on a 3D-manifold with toroidal boundary. The reduction is implemented by requiring a globally defined symmetry and restricting…

High Energy Physics - Theory · Physics 2026-05-18 Goffredo Chirco , Lucio Vacchiano , Patrizia Vitale

F-theory compactified on a Calabi-Yau fourfold naturally describes non-Abelian gauge symmetries through the singularity structure of the elliptic fibration. In contrast Abelian symmetries are more difficult to study because of their…

High Energy Physics - Theory · Physics 2015-05-28 Thomas W. Grimm , Max Kerstan , Eran Palti , Timo Weigand

Recently was shown that standard odd and even-dimensional General Relativity can be obtained from a $(2n+1)$-dimensional Chern-Simons Lagrangian invariant under the $B_{2n+1}$ algebra and from a $(2n)$-dimensional Born-Infeld Lagrangian…

High Energy Physics - Theory · Physics 2015-06-18 P. K. Concha , D. M. Peñafiel , E. K. Rodríguez , P. Salgado

We consider a certain ${\cal N}=1$ supersymmetric, SO(3)$\times$SO(3) invariant, subsector of the dyonic ISO(7)-gauged maximal supergravity in four-dimensions. The theory contains two scalar fields and two pseudoscalar fields. We look for…

High Energy Physics - Theory · Physics 2015-10-23 Yi Pang , Junchen Rong

We consider dimensional reduction of gauge theories with arbitrary gauge group in a formalism based on equivariant principal bundles. For the classical gauge groups we clarify the relations between equivariant principal bundles and quiver…

High Energy Physics - Theory · Physics 2015-06-19 Richard J. Szabo , Omar Valdivia

It is shown that the supersymmetric extension of the Stelle-West formalism permits the construction of an action for $(3+1)$-dimensional N=1 supergravity with cosmological constant genuinely invariant under the $OSp(4/1).$ Since the action…

High Energy Physics - Theory · Physics 2008-11-26 P. Salgado , S. del Campo , M. Cataldo

Abstrct: We show that the action of self-dual supersymmetric Yang-Mills theory in four-dimensions, which describes the consistent massless background fields for $~N=2$~ superstring, generates the actions for $~N=1$~ and $~N=2$~…

High Energy Physics - Theory · Physics 2015-06-26 Hitoshi Nishino

We apply the Lie algebra expansion method to the $\mathcal{N}=1$ super-Poincar\'e algerba in four dimensions. We define a set of p-brane projectors that induce a decomposition of the super-Poincar\'e algebra preparatory for the expansion.…

High Energy Physics - Theory · Physics 2020-07-07 Luca Romano